Hodge correlators, the Goldman-Turaev Lie bialgebra and Johnson homomorphisms

03.10.2023 15:15 – 17:00

Goncharov's Hodge correlators give a method for computing the periods of the real mixed Hodge structure on the unipotent fundamental group of a hyperbolic Riemann surface X. The Hodge correlator of X takes values in the cyclic quotient of the graded Lie bialgebra |T(H_1(X)|. The goal of the talk is to explain how Goncharov's work is related to Johnson homomorphisms and the Goldman--Turaev Lie bialgebra.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-07, Séminaire "Groupes de Lie et espaces de modules"

entrée libre